Attraction for mechanical systems with friction

DOI10.1134/S1064562421050057OpenAlexW4210797775MaRDI QIDQ2116727

Yanyan Li

Publication date: 18 March 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421050057

zbMATH Keywords

Lyapunov functiondry frictiontopological dynamicsLaSalle invariance principlelimiting differential inclusionLagrange equation of second kindmethod of limiting equations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Problems involving a system of particles with friction (70F40)

Related Items (1)

Method of limiting differential inclusions and asymptotic behavior of systems with relay controls

Cites Work

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• The invariance principle for nonautonomous differential equations with discontinuous right-hand side
• Limit differential inclusions and the invariance principle for nonautonomous systems
• Topological dynamics of an ordinary differential equation
• Stability theory by Liapunov's direct method
• Uniform asymptotic stability via the limiting equations
• On the implication of properties of related systems: a method for obtaining implication conditions and application examples

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